2xsquared is the same as what?

Evaluate lim x → 0+ x ln(x3). solution the given limit is indeterminate because, as x → 0+, the first factor (x) approaches 0 co

Degger [83]

$\displaystyle\lim_{x\to0^+}x\ln x^3=\lim_{x\to\infty}\frac{\ln\frac1{x^3}}x=-3\lim_{x\to\infty}\frac{\ln x}x=\frac\infty\infty$

L'Hopital's rule tells us the limit is equal to

$-3\displaystyle\lim_{x\to\infty}\frac{\frac1x}1=0$

6 0

3 years ago

NEED ANSWER NOW!!! Steven has one bag that contains three table tennis balls numbered 1, 2, and 3. He also has a second bag that

alina1380 [7]

Answer:

P(1, B) = 1/12

Step-by-step explanation:

if given one group of 3 objects, in this case tennis balls labeled 1, 2, and 3. And another group of 4 objects, labeled a, b, c, and d. the combined probability would be 1/3 * 1/4 = 1/12. This is because there is a 1/3 chance of picking one particular object from a set of 3 total objects, and a 1/4 chance of picking one particular object from a set of 4 total objects.

4 0

3 years ago

Multiply (x+4)(2x-3)

Hunter-Best [27]

Answer:

2x^2 + 5x - 12

Step-by-step explanation:

(x+4)(2x-3)

2x^2 - 3x + 8x - 12

2x^2 + 5x - 12

5 0

2 years ago

Example 1: Calculation of Normal Probabilities Using ????????-Scores and Tables of Standard Normal Areas The U.S. Department of

Molodets [167]

Answer:

i) 0.872

ii) 0.300

iii) 0.76

iv) 0.704

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $261.50 per month

Standard Deviation, σ = $16.25

We are given that the distribution of monthly food cost for a 14- to 18-year-old male is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(Less than $280)

$P( x < 280) = P( z < \displaystyle\frac{280 - 261.50}{16.25}) = P(z< 1.138)$

Calculation the value from standard normal z table, we have,

$P(x < 280) = 0.872 = 87.2\%$

b) P(More than $270)

P(x > 270)

$P( x > 270) = P( z > \displaystyle\frac{270 - 261.50}{16.25}) = P(z > 0.523)$

$= 1 - P(z \leq 0.523)$

Calculation the value from standard normal z table, we have,

$P(x > 270) = 1 - 0.700 = 0.300 = 30.0\%$

c) P(More than $250)

P(x > 250)

$P( x > 250) = P( z > \displaystyle\frac{250 - 261.50}{16.25}) = P(z > -0.707)$

$= 1 - P(z \leq -0.707)$

Calculation the value from standard normal z table, we have,

$P(x > 250) = 1 - 0.240 = 0.76 = 76.0\%$

d) P(Between $240 and $275)

$P(240 \leq x \leq 275) = P(\displaystyle\frac{240 - 261.50}{16.25} \leq z \leq \displaystyle\frac{275-261.50}{16.25}) = P(-1.323 \leq z \leq 0.8307)\\\\= P(z \leq 0.8307) - P(z < -1.323)\\= 0.797 - 0.093 = 0.704 = 70.4\%$

$P(240 \leq x \leq 275) = 70.4\%$

e) Thus, 0.704 is the probability that the monthly food cost for a randomly selected 14- to 18-year-old male is between $240 and $275.

5 0

3 years ago

Compare 5/4 and 9/10. describe two methods you could use to compare the fractions

VladimirAG [237]

$\frac{5}{4}\ \textgreater \ \frac{9}{10}$

1.You can convert them so that they have equal denominators. Then, the numerator can help you decide.
2. Convert them into decimals and compare.
3. Sketching out the fraction that represents wholes and parts.

Here, the numerator of 5/4 was larger than the denominator, unlike 9/10. Subsequently, you can infer that 5/4>9/10

6 0

2 years ago